PROBLEM 9.132
A portion of an 8in.long steel rod of diameter 1.50 in. is turned to form
the conical section shown. Knowing that the turning process reduces the
moment of inertia of the rod with respect to the
x
axis by 20 percent,
determine the height
h
of the cone.
SOLUTION
8in. rod
()
22
00
0
0
1
where
2
x
I
ma
m
V
aL
ρρ
π
==
=
and
0.75 in.
and
8 in.
=
=
Therefore,
4
0
1
2
x
I
ρπ
=
Rod and cone
cyl
cone
cyl
cone
13
21
0
xx
x
I
II
m
a
m
a
=+
=
+
where
2
cyl
cyl
mV
a
L
h
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This note was uploaded on 07/11/2011 for the course EGM 2511 taught by Professor Jenkins during the Spring '08 term at University of Florida.
 Spring '08
 Jenkins
 Statics, Moment Of Inertia

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